Do current-density nonlinearities cut off the glass transition?

Abstract

Extended mode coupling theories for dense fluids predict that nonlinear current-density couplings cut off the singular 'ideal glass transition' present in the standard mode coupling theory where such couplings are ignored. We suggest here that, rather than allowing for activated processes as sometimes supposed, contributions from current-density couplings are always negligible close to a glass transition. We discuss in schematic terms how activated processes can nonetheless cut off the transition by causing the memory function to become linear in correlators at late times.